UCSC: Porter 34B, Chaos, Fractals, and the Arts, Spring 2009

Meeting #4, Thursday 23 April

Assignment 4

Review the Dorband applet and videos

Find a periodic point (not fixed) in the Dorband family

Report to me via email the values of (u, v, c) of a periodic point

and its period

HINT 1: Read Ch. 3 of Chaos in Discrete Dynamical Systems

HINT 2: Also, review the two Dorband movies and try to estimate a value of the parameter "c" with a periodic attractor, then check with the applet.

HINT 3: View these three stills from the dorband NASA movie:

• C from 0.00 to 1.00
• C from 0.38 to 0.64
• C from 0.63 to 0.76

Hint 4: This is the penultimate hint:
Explore the range, C from 0.60 to 0.64

Home page

Create your own homepage (if not already)

HINTS: Name your home page "index.html"

Place it in the folder called "public_html"

[UCSC HOWTO] [Ralph's HOWTO]

Report to me your URL via email when your home page is working

HW#4 page

Include a link from your home page to your HW#4 page

Your HW#4 page should include a javascript file on a blank page

The JS file should write "Hello World" on the blank page

Report to me your URL via email when this page is working

HINTS: It is OK to use these example pages in your work: hw04.html, hw04.js